Answer:
383 children and 361 adults
Step-by-step explanation:
Let's say there are a adults and c children. Since the total number of people was 744, we can write:
a + c = 744
We also know that children's prices are $1.75 per child and adults' prices are $2 per adult. Since the total is $1392.25, we can write:
1.75c + 2a = 1392.25
Now we have a system of linear equations:
a + c = 744
1.75c + 2a = 1392.25
Multiply the first equation by 2:
2 * (a + c = 744) ⇒ 2a + 2c = 1488
Now subtract the second equation from this one:
2a + 2c = 1488
- 2a + 1.75c = 1392.25
___________________
0a + 0.25c = 95.75
c = 383
Plug this in to find a:
a + c = 744
a + 383 = 744
a = 361
There were 383 children and 361 adults.
Lets use some variables:
x = number of adults
y = number of children
744 total people used the public swimming pool and the number adults and children are unknown, so, we can write an equation like:
x + y = 744
Since $2 are for adults, we can write that as 2x. Since $1.75 are for children, we can write that as 1.75y. Since the total price is $1,392.25, that's what the equation should equal. Equation:
2x + 1.75y = 1,392.25
Now, we have a system of equations.
~Rationalize equations
x + y = 744, 2x + 7/4y = 5569/4
~Isolate x for [ x + y = 744 ]
x + y - y = 744 - y
x = 744 - y
~Substitute with x
2(744 - y) + 7/4y = 5569/4
~Isolate y for [ 2(744 - y) + 7/4y = 5569/4 ]
2(744 - y) * 4 + 7/4y * 4 = 5569/4 * 4
8(744 - y) + 7y = 5569
5952 - 8y + 7y = 5569
5952 - y = 5569
5952 - 5952 - y = 5569 - 5952
-y = -383
-y/-1 = -383/-1
y = 383
~Substitute y with 383 in [ x = 744 - y ]
x = 744 - 383
x = 361
Therefore, there are 361 adults and 383 children.
Best of Luck!
Plz answer with explanation will give brainliest
Answer:
B: |8| + (-7)
Step-by-step explanation:
When you are looking for the distance between two numbers, always add. The distance between 8 and -7 is 15 (|8| = 8). If, for instance, the answer was negative, which it is now, just find the absolute value of -15 which equals 15. The answer is B.
A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 11 feet. The width of the floor is 4 feet less than the length. It will have a stage and a closet, and the remaining area of the floor will be painted. The dimensions are shown in the diagram: rectangle with length of x ft and width of x minus 4 ft, right triangle inside labeled stage with height of x minus 4 ft and base of 8 ft, rectangle inside labeled closet with length of 7 ft and width of 3 ft, the rest of the rectangle is labeled floor Let A represent the painted area, in square feet, of the floor. Choose the correct equation to solve for area (A). A = x(x − 4) − (8)(x − 4) − 3(7) A = x(x − 4) + (8)(x − 4) + 3(7) A = x(x − 4) + 0.5(8)(x − 4) + 3(7) A = x(x − 4) − 0.5(8)(x − 4) − 3(7)
Answer:
A = x(x − 4) − 0.5(8)(x − 4) − 3(7)
Step-by-step explanation:
x = length, making the width (x-4)
The stage closet will be (x-4)(8)(1/2)
The rectangle is 7(3)
That makes the painted area x(x-4) - 4(x-4)
So...
A = x(x − 4) − 0.5(8)(x − 4) − 3(7)
The printed area of the theater room is x(x − 4) − 0.5(8)(x − 4) − 3(7). Then the correct option is D.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 11 feet.
The width of the floor is 4 feet less than the length.
It will have a stage and a closet, and the remaining area of the floor will be painted.
Let, the length be x
Then the width will be (x - 4)
Then the stage closest will be
[tex]\dfrac{8(x- 4)}{2} \Rightarrow 4(x-4)[/tex]
The rectangle is 7(3)
The painted area will be given as
[tex]\rm x(x-4) - 4 (x-4)[/tex]
Then we have
[tex]\rm area = x(x - 4)- 0.5(8)(x - 4) - 3(7)[/tex]
More about the geometry link is given below.
https://brainly.com/question/7558603
i think its b but please help!! if you do help me with the other ones plz im lowkey slow
Answer: C
Step-by-step explanation:
4 * 2= 8
4 *2 = 8
6 * 1 = 6/2 = 3
6 *1 = 6/2 =3
6* 2 = 12
12 + 3 +3 +8 +8 = 34
what is the equation of the line?
Answer:
x=3
Step-by-step explanation:
try different values on the line! plug them in and you'll see that every x value is 3!
Answer:
x=3
Step-by-step explanation:
Because there is no slope (or the slope is undefined), there is another way to write the equation. Instead of y=mx+b, it will be either x=b or y=b, y=b being a horizontal line and x=b being vertical. To find b, simply find the value of x or y. The line has infinite points on it with one similarity, being their x value is 3. Hence, the equation is x=3.
What is the volume of this right triangular prism?
Answer:
To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume.
Step-by-step explanation:
Answer:
LXWXH
Step-by-step explanation:
NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!! First one who help will be marked brainliest
a sound wave has a frequency of 627 hz and a wavelength of 3.25 m. what is the speed of the wave?
Answer:
2037.75m/s
Step-by-step explanation:
To calculate the speed of a wave, you need to multiply the wavelength by the frequency. In this case, 627*3.25=2037.75m/s. Hope this helps!
The speed of a sound wave with a frequency of 627 hz and a wavelength of 3.25 m is calculated using the formula v = f λ, where v is the speed, f is the frequency, and λ is the wavelength. Multiplying the given frequency and wavelength gives a speed of 2037.75 m/s for the sound wave.
Explanation:The speed of a sound wave is calculated by multiplying its frequency by its wavelength using the formula v = f λ, where v is the speed of the wave, f is the frequency, and λ (lambda) is the wavelength.
Given that the frequency of the sound wave is 627 hz and the wavelength is 3.25 m, we can substitute these values into the formula to find the speed:
v = 627 hz × 3.25 m
Now, let's perform the multiplication to solve for v:
v = 2037.75 m/s
Therefore, the speed of the sound wave is 2037.75 meters per second.
Determine the intercepts of the line.
Answer:
see explanation
Step-by-step explanation:
To find the x- intercept, where the line crosses the x- axis, let y = 0 in the equation and solve for x, that is
11x + 6 = 0 ( subtract 6 from both sides )
11x = - 6 ( divide both sides by 11 )
x = - [tex]\frac{6}{11}[/tex] , thus coordinates of x- intercept are
( - [tex]\frac{6}{11}[/tex], 0 )
To find the y- intercept, where the line crosses the y- axis, let x = 0 in the equation and solve for y, that is
y = 11(0) + 6 = 0 + 6 = 6, thus coordinates of y- intercept are
(0, 6 )
Find the X-intercept of the function represented by the graph?
Answer:
I would think 28
I may be wrong but y'know
Why 28?
well it's going to touch a box every 8 boxes and 28 is the only one with 28
I hope this is right sorry if it's not.
A ribbon that is 22 3/4 inches long has to be divided into 7 equal pieces
Answer:
each piece will be 3 1/4 inches
Step-by-step explanation:
22 3/4 can be rewritten as 91/4. to divide, you use keep, change, flip (keep the first fraction, change the sign, and flip the second fraction) . u will end up with 91/4 times 1/7, which is 91/28 or 3 1/4
Each piece of ribbon will be 3(1/4) inches.
What is expression?Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.
[tex]22\dfrac{3}{4}[/tex]
This expression can be rewritten
[tex]\dfrac{88+3}{4} = \dfrac{91}{4}[/tex]
Since ribbon has to be divided into 7 equal pieces
[tex]\dfrac{\dfrac{91}{4}}{7}[/tex]
[tex]\dfrac{91}{4} \times\dfrac{1}{7}[/tex]
[tex]\dfrac{91}{28} = \dfrac{13}{4}[/tex]
[tex]3\dfrac{1}{4}[/tex]
Learn more about expression here:
brainly.com/question/13947055
#SPJ2
Approximately what are the zeros of this parabola?
Answer:
The zeros are approximately -1.65 and 3.65.
(7 * 10-5) (5 x 10-) =
x 10
Have you learned PEMDAS? (Parenthesis, exponents, multiplication, division, addition, subtraction). That is what I am going to do here.
The first parenthesis, let's solve. 7*10=70-5=65
The second parentheisis: I am assuming the negative sign is a typo, and this answer will be off if it is not. Sorry. 5*10=50
65*50=3250
I hope this helps, and let me know if you need further assistance.
NEED HELP PLEASE: The pyramid shown has a regular hexagon as a base. What is the literal area of the pyramid?
Answer:
864cm squared
Step-by-step explanation:
Formula for Lateral Area:
Lateral Area=1/2* (Perimeter of the Base)*Height
The Perimeter of the Base = 72cm
Height = 24
Answer = 1/2* 72* 24
Answer = 864cm squared
an Exothermic reaction _____ Energy
Answer:
An exothermic reaction releases energy
Step-by-step explanation:
Answer:
releases
Step-by-step explanation:
Answer for Founder's Education/Educere
pls help! will give brainlist!
what is the value of x?
a. 60 degrees
b. 50 degrees
c. 40 degrees
d. 70 degrees
Answer:
A. 60°
Step-by-step explanation:
There's a very straight-forward explanation for this, thank god! XD
For this type of problem, there's a rule to follow for the outside angle. X and 120 should equal 180, so all you need to do is fill that gap.
180-120 = 60
60 is your answer because it completes the whole angle.
Stacey bought a box of cookies that match the dimensions of the solid below. How many square units of cardboard were used to construct the box? If your solution is not a whole number round to the nearest tenth.
Final answer:
To calculate the number of square units of cardboard used to construct Stacey's cookie box, we need the box's dimensions to find the surface area. If the box were similar to a 9x9x4 inch doughnut box mentioned in the examples, the calculation would result in 306 square inches. Without the exact dimensions, we use the formula for surface area and round to the nearest tenth if necessary.
Explanation:
To determine how many square units of cardboard were used to construct Stacey's cookie box, we need to calculate the surface area of the box. However, the question does not provide the exact dimensions of the solid, so let's assume that we have the length, width, and height of the box. Then, the surface area of the box can be calculated as twice the sum of the length times width, length times height, and width times height (2(lw + lh + wh)).
As an example, if the box had dimensions of length (l), width (w), and height (h), and let's say that l=9 inches, w=9 inches, and h=4 inches, similar to the doughnut box mentioned in the provided information, the surface area would be:
Surface area = 2(lw + lh + wh) = 2(9*9 + 9*4 + 9*4) = 2(81 + 36 + 36) = 2*153 = 306 square inches
Now, if Stacey's cookie box has different dimensions, you would plug those values into the surface area formula instead. If the calculated surface area is not a whole number, the question advises to round to the nearest tenth.
A radioactive element has a half-life of 5,750 years. Archeologists determined a relic had lost 25.5% of this element at the time it was found. How old is the relic? (Two steps)
Answer:
2441.95 years
Step-by-step explanation:
We can model this exponencial function as:
P = Po * (1+r)^(t/n)
Where P is the final value, Po is the inicial value, r is the rate, t is the time and n is the period of half-life.
In this case, we have that P/Po = 100% - 25.5% = 74.5% = 0.745, r = -0.5 and n = 5750, so we have that:
0.745 = (1 - 0.5)^(t/5750)
Step 1: log in both sides:
log(0.745) = (t/5750) * log(0.5)
Step 2: isolate t
t = 5750*log(0.745)/log(0.5) = 2441.95 years
please help means a lot will mark brainlist
Answer:
The correct one is the one that you have clicked on already.
Step-by-step explanation:
The triangle shown below has an area of 444 units^2
2
squared.
Find the missing side.
i need this rn
Answer:
2 units
Step-by-step explanation:
First, let's set up an equation using the formula for the area of a triangle.
Then, see the attached photo on how I did it.
The answer: x = 2 units
Brahmagupta’s solution to a quadratic equation of the form ax2 + bx = c involved only one solution. Which solution would he have found for the equation 3x2 + 4x = 6? x = x = x = x =
Answer:
A on edg.
Step-by-step explanation:
A spinner is split into 4 equal parts labeled 1, 2, 3, and 4.
What is the probability of landing on an even number? (Write your final answer as a percentage.)
P(event) =
1.17 − 0.07a + (−3.92a) What is this ????
Answer: 17-3.99a
Step-by-step explanation:
Remove parentheses.
17- 0.07a- 3.92a17−0.07a− 3.92a
Collect like terms.
17+(−0.07a−3.92a)
Simplify.
17−3.99a
SOS I NEED ANSWER RIGHT NOW SOMEONE PLEASE HELP ME :(
Answer:
The functions share a y intercept of -1
Step-by-step explanation:
Both functions cross the y axis and y=-1 and x=0
They both have the same y intercept
Solve the system of equations:
2x-5y=-22
X+7y=27
Please answer correctly !! Will mark brainliest !!!
Answer:
no, because in a function, the input is paired or has only one output, but here 20 is paired to both 40 and 42, which doesn't make it a function.
Sonya wrote each letter of LEDBETTER on a separate index card and put the cards in a box. She picked one letter at random, put the card back, and then repeated the experiment. If she performed this experiment 90 times, which is the best prediction for the number of times that Sonya would pick a T?
Answer: 20
Step-by-step explanation:
Given, Sonya wrote each letter of LEDBETTER on a separate index card and put the cards in a box.
Total letters = 9
Number of times T appeared = 2
Thus, if we pick one card , the probability of getting card with T would be :-
[tex]\dfrac{\text{Number of times T appeared}}{\text{Total letters}}\\\\=\dfrac{2}{9}[/tex]
If she performed this experiment 90 times, then the best prediction for the number of times that Sonya would pick a T would be :
90 x ( probability of getting card with T)
[tex]=90\times\dfrac{2}{9}=10\times2=20[/tex]
Hence, the the best prediction for the number of times that Sonya would pick a T = 20.
Can someone answer this question?
Answer:
You're correct, it's 7.5!
Step-by-step explanation:
15% is still 15/100. So, if you to divide 100 by 2 to convert it to 50, then you divide 15 by 2 as well! And the answer to that is 7.5.
9+9-4-123456-5431-87+0-6=5 x 3
answer please!!!!1
Answer:
-177,856 does not equal 15
-177,856=15
A girl and a boy each randomly grab a piece of candy from a bowl containing 9 pieces of chocolate, 7 fruit chews, 9 lollipops, and 9 peppermints. Find the probability that both events A and B will occur. Give your answer a reduced fraction.
Event A: A girl grabs a lollipop
Event B: A boy grabs a fruit chew
Step-by-step explanation:
Answer: event a: 11
Event b: 4
Step-by-step explanation:
Since There are 44 cans in total, Event Will get 11 candies and event b Will get 4 candies.
Which expressions best represents the area of the rectangle
Answer:
4x
Step-by-step explanation: